90930048 has 192 divisors, whose sum is σ = 282172800. Its totient is φ = 25850880.

The previous prime is 90930043. The next prime is 90930061. The reversal of 90930048 is 84003909.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90930043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 882765 + ... + 882867.

It is an arithmetic number, because the mean of its divisors is an integer number (1469650).

Almost surely, 2^90930048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90930048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141086400).

90930048 is an abundant number, since it is smaller than the sum of its proper divisors (191242752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90930048 is a wasteful number, since it uses less digits than its factorization.

90930048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 90930048 is about 9535.7248282446. The cubic root of 90930048 is about 449.6788622360.

The spelling of 90930048 in words is "ninety million, nine hundred thirty thousand, forty-eight".